338125195044 has 288 divisors, whose sum is σ = 1095735397120. Its totient is φ = 88781142528.

The previous prime is 338125195027. The next prime is 338125195063. The reversal of 338125195044 is 440591521833.

338125195044 is a `hidden beast` number, since 3 + 3 + 8 + 125 + 19 + 504 + 4 = 666.

It is a super-2 number, since 2×338125195044² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20247162 + ... + 20263854.

Almost surely, 2^338125195044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338125195044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547867698560).

338125195044 is an abundant number, since it is smaller than the sum of its proper divisors (757610202076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338125195044 is a wasteful number, since it uses less digits than its factorization.

338125195044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 338125195044 in words is "three hundred thirty-eight billion, one hundred twenty-five million, one hundred ninety-five thousand, forty-four".